Question

1. 20 ft = ____ in
2. 6\frac{1}{2} qt = ____ pt
3. \frac{3}{4} t = ____ lb
4. 100 oz = ____ lb

Explanation:

Problem 5: \( 20 \, \text{ft} = \, \underline{\quad} \, \text{in} \)

Step 1: Recall the conversion factor

We know that \( 1 \, \text{ft} = 12 \, \text{in} \).

Step 2: Multiply the number of feet by the conversion factor

To convert feet to inches, we multiply the number of feet by 12. So, for \( 20 \, \text{ft} \), we calculate \( 20 \times 12 \).
\( 20 \times 12 = 240 \)

Step 1: Recall the conversion factor

We know that \( 1 \, \text{qt} = 2 \, \text{pt} \).

Step 2: Convert the mixed number to an improper fraction (optional, but helpful)

\( 6\frac{1}{2} = \frac{13}{2} \)

Step 3: Multiply by the conversion factor

To convert quarts to pints, we multiply the number of quarts by 2. So, \( \frac{13}{2} \times 2 \).
\( \frac{13}{2} \times 2 = 13 \)

Step 1: Recall the conversion factor

We know that \( 1 \, \text{T} = 2000 \, \text{lb} \).

Step 2: Multiply by the conversion factor

To convert tons to pounds, we multiply the number of tons by 2000. So, \( \frac{3}{4} \times 2000 \).
\( \frac{3}{4} \times 2000 = 3 \times 500 = 1500 \)

Answer:

\( 240 \)

Problem 6: \( 6\frac{1}{2} \, \text{qt} = \, \underline{\quad} \, \text{pt} \)